New posts in smooth-manifolds

Differential of Multiplication Map of Lie Group

differential-geometry manifolds smooth-manifolds tangent-spaces

What are the differences between hypersurfaces and manifolds?

differential-geometry smooth-manifolds surfaces submanifold

Are adjoint representation matrices the generators of the Adjoint representation?

matrices manifolds lie-groups lie-algebras smooth-manifolds

Can manifold subsets always be made into submanifolds?

general-topology differential-geometry manifolds differential-topology smooth-manifolds

Extension of proper map

general-topology differential-topology smooth-manifolds

In the Lie bracket $\mathcal L_X Y\equiv[X,Y]$ of vector fields, which integral curves are used?

differential-geometry manifolds lie-algebras smooth-manifolds lie-derivative

Intuition for Exotic $\mathbb R^4$'s

manifolds geometric-topology smooth-manifolds gauge-theory surgery-theory

Is there a name for this constant associated to smooth maps between spheres? (not degree)

algebraic-topology differential-topology smooth-manifolds homotopy-theory de-rham-cohomology

Symplectic reversing diffeomorphisms

differential-geometry smooth-manifolds symplectic-geometry

Coordinate-free definition of tangent space of differentiable manifold

differential-geometry smooth-manifolds tangent-spaces

Confusion with immersions, embeddings, local homeomorphisms, and local diffeomorphisms.

multivariable-calculus differential-geometry manifolds smooth-manifolds

Proving that given any two points in a connected manifold, there exists a diffeomorphism taking one to the other

differential-geometry smooth-manifolds

Intuition of Immersed versus Embedded Submanifolds

intuition smooth-manifolds

"Drawable" Examples of Vector Bundles

differential-geometry manifolds vector-bundles fiber-bundles smooth-manifolds

Brouwer fixed point theorem : continuous case

differential-topology smooth-manifolds fixed-point-theorems

Image of a submanifold under a smooth surjective map

smooth-manifolds smooth-functions submanifold

$T_pS \subseteq T_pM$: Are tangent spaces of submanifolds subsets (and not embedded) of tangent spaces of the original manifold?

geometry differential-geometry manifolds smooth-manifolds tangent-spaces

Hitchin's definition of tangent space and tangent vectors

differential-geometry manifolds smooth-manifolds quotient-spaces tangent-spaces

Are $C^{k}$ manifolds the same as $C^{\infty}$ manifolds?

differential-geometry differential-topology smooth-manifolds

Orientation of left and right translations on a Lie Group

lie-groups smooth-manifolds orientation